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Finding the Fourth Proportional to 3,892.16, 5,835.68 and 1,580.96

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Solution

The fourth proportional to 3,892.16, 5,835.68 and 1,580.96 is: 2,370.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.16 : 5,835.68 = 1,580.96 : x
  2. Step 2: Convert to fraction form
    3,892.16/5,835.68 = 1,580.96/x
  3. Step 3: Cross multiply
    3,892.16x = 5,835.68 × 1,580.96
  4. Step 4: Simplify right side
    3,892.16x = 9,225,976.65
  5. Step 5: Solve for x
    x = 9,225,976.65/3,892.16
  6. Step 6: Final answer
    x = 2,370.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.